A class of finite groups with Abelian Sylow p-subgroups

被引：0

作者：

Zhang, ZK ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, LAMA, Beijing 100871, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2006年 / 13卷 / 03期

关键词：

prime graph; the Broue conjecture; principal p-block;

D O I：

10.1142/S1005386706000411

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we first determine the structure of the Sylow P-subgroup P of a finite group G containing no elements of order 2p (p > 2), and then show that the Broue Abelian Defect Groups Conjecture is true for the principal P-block of G. The result depends on the classification of finite simple groups.

引用

页码：471 / 480

页数：10

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